Quantum algorithms for transport coefficients in gauge theories
Abstract
In the future, ab initio quantum simulations of heavy ion collisions may become possible with largescale faulttolerant quantum computers. We propose a quantum algorithm for studying these collisions by looking at a class of observables requiring dramatically smaller volumes: transport coefficients. These form nonperturbative inputs into theoretical models of heavy ions; thus, their calculation reduces theoretical uncertainties without the need for a fullscale simulation of the collision. We derive the necessary lattice operators in the Hamiltonian formulation and describe how to obtain them on quantum computers. Additionally, we discuss ways to efficiently prepare the relevant thermal state of a gauge theory.
 Publication:

Physical Review D
 Pub Date:
 November 2021
 DOI:
 10.1103/PhysRevD.104.094514
 arXiv:
 arXiv:2104.02024
 Bibcode:
 2021PhRvD.104i4514C
 Keywords:

 High Energy Physics  Lattice;
 Nuclear Theory;
 Quantum Physics
 EPrint:
 15 pages, 4 figures